On with and without Memory Root Finding Iterative Methods Based on Inverse Interpolation;Attraction

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:nmcflyl
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  We present a family of without memory three-step optimal eighth order iterative methods by using the multipoint inverse interpolation in which first two steps are of any optimal two-step fourth order method.A biparametric derivative free extension involving weight function is given which is further extended as a with memory iterative method having accelerated order of convergence.The comparisons are given with other predefined methods of respective domain for many types of non-linear functions.Basins of Attraction are also given to analyze the effectiveness of the new methods.
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